{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GEDQXP4IL3NNE7JNCEBJ4UTIPQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7663be1c6626df3f4a51f003e93358c6e6e47fd3f2ebdd854a20dc3a142f5bbd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-03-04T08:19:10Z","title_canon_sha256":"3079b95dcd02b6666fee0a0be36234b96a822cf04bb353352a319baa09f45c4d"},"schema_version":"1.0","source":{"id":"1103.0843","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0843","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0843v3","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0843","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"pith_short_12","alias_value":"GEDQXP4IL3NN","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"GEDQXP4IL3NNE7JN","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"GEDQXP4I","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:079978fbd123c104dba6d981700305bb7a162b82015db24aa5d9e421882347e4","target":"graph","created_at":"2026-05-18T03:21:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the asymptotic performance of two multi-hop overlaid ad-hoc networks that utilize the same temporal, spectral, and spatial resources based on random access schemes. The primary network consists of Poisson distributed legacy users with density \\lambda^{(p)} and the secondary network consists of Poisson distributed cognitive radio users with density \\lambda^{(s)} = (\\lambda^{(p)})^{\\beta} (\\beta>0, \\beta \\neq 1) that utilize the spectrum opportunistically. Both networks are decentralized and employ ALOHA medium access protocols where the secondary nodes are additionally equipped with ra","authors_text":"Armin Banaei, Costas N. Georghiades, Shuguang Cui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-03-04T08:19:10Z","title":"Large Overlaid Cognitive Radio Networks: From Throughput Scaling to Asymptotic Multiplexing Gain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0843","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:eba4d14a8ea0efb7a46afe14005e07e043edc5f8aad288dab3111f15909405ba","target":"record","created_at":"2026-05-18T03:21:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7663be1c6626df3f4a51f003e93358c6e6e47fd3f2ebdd854a20dc3a142f5bbd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2011-03-04T08:19:10Z","title_canon_sha256":"3079b95dcd02b6666fee0a0be36234b96a822cf04bb353352a319baa09f45c4d"},"schema_version":"1.0","source":{"id":"1103.0843","kind":"arxiv","version":3}},"canonical_sha256":"31070bbf885edad27d2d11029e52687c1b49e7c7a11121862828659237c7651a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31070bbf885edad27d2d11029e52687c1b49e7c7a11121862828659237c7651a","first_computed_at":"2026-05-18T03:21:54.998245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:54.998245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c7exm18Ua7JR+xIrlER6ZWIwzkXuivBDy0/gv83EX39VSRIneR05rKlMCpEQMIzMxjBjY6fnf18fm8Dgn9mGBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:54.998778Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.0843","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eba4d14a8ea0efb7a46afe14005e07e043edc5f8aad288dab3111f15909405ba","sha256:079978fbd123c104dba6d981700305bb7a162b82015db24aa5d9e421882347e4"],"state_sha256":"3db244e569ac2a2cd017aba9a6672bb00dbd15c033ae9531c3787b709e85b351"}